Introductory statement
VIGRE seminar course announcement: Asymptotic and Numerical Approaches to Spectral
and PDE Problems
Minakshisundaram and the birth of geometric
spectral asymptotics,
Indian Journal for the Advancement of Mathematics Education
and Research 32 (2004) 9599
Recent papers on spectral theory and asymptotics
 Short exposition: S. A. Fulling, What we should have
learned from G. H. Hardy about quantum field theory under
external conditions, in
The Casimir Effect 50 Years Later,
ed. by M. Bordag (World Scientific, Singapore, 1999),
pp. 145154.
Preprint available (DVI) (PS) (PDF)
 S. A. Fulling (with appendix by R. A. Gustafson),
Some properties of Riesz means and spectral expansions,
Electron. J. Diff. Eqs.
1999 No. 6, 139 (1999)
 R. Estrada and S. A. Fulling,
Distributional asymptotic expansions of spectral functions
and of the associated Green kernels,
Electron. J. Diff. Eqs.
1999 No. 7, 137 (1999)

Numerical examples by Christopher Romero
 S. A. Fulling, E. V. Gorbar, and C. T. Romero,
Spectral RieszCesaro means:
How the square root function helps us to see around the world,
Electron. J. Diff. Eqs., Conf. 04, 2000, pp. 87101.
 J. D. Bondurant and S. A. Fulling,
The
DirichlettoRobin transform.
J. Phys. A 38 (2005) 15051532
 S. A. Fulling and P. Kuchment,
Coincidence of length spectra does not imply isospectrality,
Inverse Problems 21 (2005) 13911395
 Y. Yang and S. A. Fulling,
Some Subtleties in the Relationships among Heat Kernel
Invariants, Eigenvalue Distributions, and Quantum Vacuum
Energy,
J. Phys. A 48 (2015) 045402
See also Semiclassical approximations
and Vacuum energy.
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